论文标题
多极杆的连续体中的绑定状态
Bound States in the Continuum in Multipolar Lattices
论文作者
论文摘要
我们在多极杆子中的连续体（BIC）中发展了一个结合状态的理论 - 谐振多物的周期性阵列。我们预测，BIC对固定在$ k $ -space中的特定方向的晶格参数的变化完全可靠。这种结构中BIC缺乏辐射受到形成晶格的多物的对称性的保护。我们还表明，一些多极杆可以托管BIC，在$ K $空间中形成连续线，而这种BIC则带有零拓扑费。开发的方法建立了BIC拓扑电荷与Q因子在其附近的渐近行为之间的直接基本关系。我们认为，我们的理论是对BIC的物理学和高Q国家在全dilectric MetaSurfaces中的物理和工程的更深入了解的重要一步。
We develop a theory of bound states in the continuum (BICs) in multipolar lattices -- periodic arrays of resonant multipoles. We predict that BICs are completely robust to changes in lattice parameters remaining pinned to specific directions in the $k$-space. The lack of radiation for BICs in such structures is protected by the symmetry of multipoles forming the lattice. We also show that some multipolar lattices can host BICs forming a continuous line in the $k$-space and such BICs carry zero topological charge. The developed approach sets a direct fundamental relation between the topological charge of BIC and the asymptotic behavior of the Q-factor in its vicinity. We believe that our theory is a significant step towards gaining deeper insight into the physics of BICs and the engineering of high-Q states in all-dielectric metasurfaces.
